An extension of Reny's theorem without quasiconcavity

Philippe Bich (1)

1 CES - Centre d'économie de la Sorbonne

In a recent but well known paper, Reny has proved the existence of Nash equilibria for compact and quasiconcave games, with possibly discontinuous payoff functions. In this paper, we prove that the quasiconcavity assumption in Reny's theorem can be weakened: roughly, we introduce a measure allowing to localize the lack of quasiconcavity; this allows to refine the analysis of equilibrium existence

Mots clés: Nash equilibrium; existence; discontinuous games; non quasiconcave

Domaines: Economies et finances

Philippe Bich. An extension of Reny's theorem without quasiconcavity. 2008. ⟨halshs-00323348⟩